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Finding the Third Proportional to 298,148 and 446,038

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Solution

The third proportional to 298,148 and 446,038 is: 667,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,148 : 446,038 = 446,038 : x
  2. Step 2: Convert to fraction form
    298,148/446,038 = 446,038/x
  3. Step 3: Cross multiply
    298,148x = 446,038 × 446,038
  4. Step 4: Simplify right side
    298,148x = 198,949,897,444
  5. Step 5: Solve for x
    x = 198,949,897,444/298,148
  6. Step 6: Final answer
    x = 667,285.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.